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1143828 = 223371789
BaseRepresentation
bin100010111010000010100
32011010001000
410113100110
5243100303
640303300
712502530
oct4272024
92133030
101143828
11711414
12471b30
1331082a
1421abc0
15178da3
hex117414

1143828 has 96 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 304128.

The previous prime is 1143817. The next prime is 1143829. The reversal of 1143828 is 8283411.

1143828 is a nontrivial binomial coefficient, being equal to C(1513, 2).

It is a super-3 number, since 3×11438283 = 4489556333253598656, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12808 + ... + 12896.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

21143828 is an apocalyptic number.

1143828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1143828 is the 1512-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1143828 is an abundant number, since it is smaller than the sum of its proper divisors (2484972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1143828 is a wasteful number, since it uses less digits than its factorization.

1143828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1143828 is about 1069.4989481061. The cubic root of 1143828 is about 104.5811888613.

The spelling of 1143828 in words is "one million, one hundred forty-three thousand, eight hundred twenty-eight".